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Finding the Third Proportional to 767,742 and 1,652,124

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Solution

The third proportional to 767,742 and 1,652,124 is: 3,555,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,742 : 1,652,124 = 1,652,124 : x
  2. Step 2: Convert to fraction form
    767,742/1,652,124 = 1,652,124/x
  3. Step 3: Cross multiply
    767,742x = 1,652,124 × 1,652,124
  4. Step 4: Simplify right side
    767,742x = 2,729,513,711,376
  5. Step 5: Solve for x
    x = 2,729,513,711,376/767,742
  6. Step 6: Final answer
    x = 3,555,248.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.